Connes-Dixmier traces, singular symmetric functionals, and the notion of Connes measurable element

DOI10.1007/S11006-005-0067-2zbMath1131.46303OpenAlexW1966288672MaRDI QIDQ2388179

Alexander A. Sedaev, Steven Lord, Pheodor A. Sukochev

Publication date: 8 September 2005

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-005-0067-2

zbMATH Keywords

Marcinkiewicz spacemeasurable functionsingular symmetric functionalConnes-Dixmier traceCesàro average operatorCesàro-Banach limit

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) General theory of von Neumann algebras (46L10) Noncommutative function spaces (46L52)

Cites Work

• Unnamed Item
• Symmetric functionals and singular traces
• Singular symmetric functionals
• A contribution to the theory of divergent sequences
• Singular symmetric functionals and Banach limits with additional invariance properties

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